Suppose it takes 5 ft-lb of work to compress a spring from its natural length of 4 ft to a length of 2 ft. Find the work it takes to stretch the spring from its natural length to a length of 7 ft. Be sure to write the units for your answer.
Suppose it takes 5 ft-lb of work to compress a spring from its natural length of 4 ft to a length of 2 ft. Find the work it takes to stretch the spring from its natural length to a length of 7 ft. Be sure to write the units for your answer.
College Physics
11th Edition
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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:Suppose it takes 5 ft-lb of work to compress a spring from its natural length of 4 ft to a length of
2 ft. Find the work it takes to stretch the spring from its natural length to a length of 7 ft. Be sure to write the
units for your answer.
Expert Solution
Concept and Principle:
As per Hooke's law when an ideal spring is compressed then force proportional to the decrease in length will act on the spring and if the spring is stretched then a force proportional to the increase in length will act on the spring.
Where k is the spring constant and is the increase or decrease of the length.
Work done by spring will be,
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